Question

How do you simplify `10 + 2(4x + 3)`?

Answer 1

Distribute and combine like terms to get `8x+16`

Explanation:

First, let's distribute the `2` to the terms in parenthesis. In this step, we are just multiplying. We get:

`10+8x+6`

We can further combine like terms (constants with constants, variables with variables) to get:

`8x+16`

This would be the simplified version of `10+2(4x+3)`

BONUS: Alternatively, we can factor `8x+16`. We are essentially finding a common factor that both of the terms have in common. We can factor an `8` out of both terms (which is the same as dividing by `8`). We get:

`8(x+2)`

This is the factored version of `8x+16`